degree 3 zeros at x=4,x=3,x=2, y intercepts at

Ani Bazikyan

Ani Bazikyan

Answered question

2022-03-19

degree 3 zeros at x=4,x=3,x=2, y intercepts at (0,24)

Answer & Explanation

Vasquez

Vasquez

Expert2022-04-28Added 669 answers

Given:

x-intercepts = 4,3,2

y-intercept = 24

degree = 3

Since it is a third degree function with three x intercepts, its general equation becomes:

f(x)=a(x-4)(x-3)(x-2)

In order to evaluate a, use the y-intercept (0,24), therefore substitute f(0)=24 in this equation:

24=a(0-4)(0-3)(0-2)

Simplify:

24=-24a

Evaluate a:

a=-2424=-1

This implies that the equation of the given polynomial function is

f(x)=-1(x-4)(x-3)(x-2)

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